Answer:
cross-section
Step-by-step explanation:
prism is a type of three-dimensional (3D) shape with flat sides.
It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.
Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. According to a 2017 large-scale study of elderly ICU patients, the average length of stay in the ICU is 3.4 days (Critical Care Medicine journal article). Assume that this length of stay in the ICU has an exponential distribution. Do not round intermediate calculations.
a. What is the probability that the length of stay in the ICU is one day or less (to 4 decimals)?
b. What is the probability that the length of stay in the ICU is between two and three days (to 4 decimals)?
c. What is the probability that the length of stay in the ICU is more than five days (to 4 decimals)?
Using the exponential distribution, it is found that there is a:
a) 0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.
b) 0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.
c) 0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = e^{-\mu x}[/tex]
In this problem, the mean is of 3.4 days, hence, the decay parameter is:
[tex]\mu = \frac{1}{3.4}[/tex]
Item a:
[tex]P(X \leq 1) = 1 - e^{-\frac{1}{3.4}} = 0.2548[/tex]
0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.
Item b:
[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3.4}} = 0.4447[/tex]
[tex]P(X \leq 3) = 1 - e^{-\frac{3}{3.4}} = 0.5862[/tex]
[tex]P(2 \leq X \leq 3) = 0.5862 - 0.4447 = 0.1415[/tex]
0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.
Item c:
[tex]P(X > 5) = e^{-\frac{5}{3.4}} = 0.2298[/tex]
0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.
A similar problem is given at https://brainly.com/question/17039711
using the rectangle below calculate the values of x and y
Answer:
x=4, y=9/7
Step-by-step explanation:
We will use the property that the opposite sides of a rectangle are equal
3(3y-1)=2(y+3)
9y-3=2y+6
7y=9
y=9/7
2x=4(x-2)
2x=4x-8
2x=8
x=4
Help??? Lma.o sorry I need the answer asap
Answer:
f(5)=38
Step-by-step explanation:
f(5) means x=5, or in this case, a=5. We plug in 5 as A. f(5)=7(5+1)-4. f(5)=7(6)-4.
f(5)=42-4
f(5)=38
Pls,
Find the area of the
parallelogram below.
8 cm
12 cm
Answer: Area = 96 cm squared
Explanation;
base x height = area
Base = 12
Height = 8
12 x 8 = 96
Find all factors of 27.
Answer:
all the factors of 27 is 1, 3 ,9,and 27
math for college readiness question. please help
Answer: 3
Step-by-step explanation:
[tex](f \circ f)(2) = f(f(2)) = f(3) = \boxed 3[/tex]
Which equation has the solution x = 3?
Select each correct answer.
2x + 4 = 10
9−3x=0
3x + 1 = 9
9x−1=4
x3+5=6
5x−7=1 giving 50 pointss so hurry
Answer:
A and B
Step-by-step explanation:
A: 2x3=6 6+4=10 so correct
B: 9-9=0 so correct
Answer:
2x+4=10
Step-by-step explanation:
2x=10-4=
2x=6
x=6÷2=
3
Translate to an equation and solve. Let x be the unknown number.
30% of 26 is what number?
Answer: x/30=26/100 would be the equation and then to get the answer you would cross multiply which would get you, x=7.8
Step-by-step explanation:
Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 40 days. Provide 3 decimal places and units in your answer.
Compounded continuously model are evaluated using exponential functions
There are 8.177 bacteria left after 40 days
The given parameters are:
[tex]\mathbf{a = 10}[/tex] --- the initial number of bacteria
[tex]\mathbf{r = 0.502\%}[/tex] --- the decay rate
[tex]\mathbf{n = 40}[/tex] --- the number of days
The amount of bacteria left each day is calculated using:
[tex]\mathbf{T_n = a \times (1 - r)^n}[/tex]
So, we have:
[tex]\mathbf{T_{40} = 10 \times (1 - 0.502\%)^{40}}[/tex]
Express percentage as decimal
[tex]\mathbf{T_{40} = 10 \times (1 - 0.00502)^{40}}[/tex]
Simplify the expression in bracket
[tex]\mathbf{T_{40} = 10 \times 0.99498^{40}}[/tex]
Evaluate
[tex]\mathbf{T_{40} = 8.1766}[/tex]
Approximate
[tex]\mathbf{T_{40} = 8.177}[/tex]
Hence, there are 8.177 bacteria left after 40 days
Read more about compounded continuously model at:
https://brainly.com/question/73731
Can someone please help me figure out the answer to the question in the picture?
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors?
Answer:
A trinomial is an expression that has three terms.
Square trinomial
A square trinomial is simply a perfect square trinomial.
Difference of square binomials
This is easily identified because, the terms of the square binomials are perfect squares.
When cubes are added or subtracted, they can be expressed using the following
An Olympic-size swimming pool is 50 meters long. How many yards long is
the pool, to the nearest tenth of a yard?
Answer:
10.9
Step-by-step explanation:
Answer:
54.7 yards
Step-by-step explanation:
1 meter = 1.094 yards
50 meters = 54.7 yards
BEST ANSWER GETS BRAINLIEST!!!!!!!
ruben the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 9 clients who did Plan A and 7 who did Plan B. On Tuesday there were 3 clients who did Plan A and 5 who did Plan B. Reuben trained his Monday clients for a total of 12 hours and his Tuesday clients for a total of 6 hours. How long does each of the workout plans last?
Let plan A be x
Plan B be y
Equations are
[tex]\\ \sf\longmapsto 9x+7y=12--(1)[/tex]
[tex]\\ \sf\longmapsto 3x+5y=6--(2)[/tex]
Multiplying (1) by 1 and (2) by 3
9x+7y=129x+15y=18Subtracting
[tex]\\ \sf\longmapsto -8y=-6[/tex]
[tex]\\ \sf\longmapsto y=3/4[/tex]
Putting in eq(2)
[tex]\\ \sf\longmapsto 3x+5(3/4)=5[/tex]
[tex]\\ \sf\longmapsto 3x+15/4=5[/tex]
[tex]\\ \sf\longmapsto 3x=5-4/15[/tex]
[tex]\\ \sf\longmapsto 3x=71/15[/tex]
[tex]\\ \sf\longmapsto x=71/45[/tex]
The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to have changed -1 5/6 inches. What was the total change in the water level over the two years?
Answer:
The total change in water level over the past 2 years is [tex]\displaystyle -4 \frac{1}{6}[/tex].
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightFractions
Proper and ImproperNumbers
Least Common Multiple (LCM)Step-by-step explanation:
Step 1: Define
Identify
Year 1 water change: [tex]\displaystyle -2 \frac{1}{3}[/tex]
Year 2 water change: [tex]\displaystyle -1 \frac{5}{6}[/tex]
Step 2: Find Total Water Change
[Set up] Add yearly water changes: [tex]\displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}[/tex][Fractions] Convert to improper: [tex]\displaystyle \frac{-7}{3} - \frac{11}{6}[/tex][Fraction] Rewrite [LCM]: [tex]\displaystyle \frac{-14}{6} - \frac{11}{6}[/tex][Order of Operations] Subtract: [tex]\displaystyle \frac{-25}{6}[/tex][Fraction] Convert to proper: [tex]\displaystyle -4 \frac{1}{6}[/tex]The population of a city decreases by 1.1% per year. If this year's population is
79,000, what will next year's population be, to the nearest individual?
Answer:
Step-by-step explanation:
100% - 1.1% = 98.9% = 0.989
79000(0.989)¹ = 78,131
or
1.1% = 0.011
79000(0.011) = 869
79000 - 869 = 78,131
URGENT, WILL GIVE BRAINLIEST!!
In △ABC, A=27∘, a=27 and c=24. Which of these statements best describes angle C?
C must be acute.
C must be obtuse.
C can be either acute or obtuse.
△ABC cannot be constructed.
Answer:
C must be acute, and ABC cannot be constructed
Step-by-step explanation:
24 degrees is under 90 degrees making angle c an acute angle.
ABC cannot be contructed because a triangle makes up of 180 degrees, and ABC does not make up 180 degrees.
Have a great day friend! :D
Answer:
C must be acute.
Step-by-step explanation:
The smaller the length of the side, the smaller is the angle opposite it, so C must be < 27.
what is the measure of angle x?
Answer:
180
Step-by-step explanation:
Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.
**PLEASE HELP OMG**
The square below is dilated by a scale factor of 3/2. Find the perimeter of the dilated square.
Answer:
W4 is our new scaled side
Step-by-step explanation:
Look at scale factor like this and it helps everytime so if it doesn’t help you there different methods.
3/2 has a larger number as a numerator so that means that the shape being scaled will get larger and if the number is smaller than denominator then the scaled figure will get smaller :3
In our case it gets bigger
do 16 divided by 2 which gives us 8 then times that by 3 to get 24
now thats how I solved this problem but if that not how you did it then you can do it your way :3
HOOE THIS HEEELPPED :DDD
A line contains the points (1, 2) and (0,1). What is the equation of the line?
Answer:
y = x + 1
Step-by-step explanation:
Slope: (1-2)/(0-1) = -1/-1 = 1
y-intercept: 1 - (-2)(0) = 1
y = x + 1
14 blue cars out of 70 cars
Answer:
66 cars
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
14-70=56
Step-by-step explanation:
its subtraction so you just need 70 and take away 14.
reasoning being that theyre all still cars no matter the color and you just need to take away 14 from 70, leaving you with 56.
George eat 3/8 a pizza and 1/4 of pizza
What fraction of pizza has George eaten
Answer: 5/8
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
1/4=2/8
2/8+3/8=5/8
Question 6 of 24
The function f(x) = x2 - 6x + 9 is shifted 5 units to the right to create g(x).
What is g(x)?
A. g(x) = (x - 5)2 - 6(x - 5) + 9
B. g(x) = (x + 5)2 - 6(x + 5) + 9
C. g(x) = (x2 - 6x + 9) + 5
D. g(x) = (x2 - 6x + 9) - 5
Micr
SUBMIT
Answer:
Step-by-step explanation: its b
5.
Identify the axis of symmetry of the parabola.
A. y = −1
B. x = −1
C. x = 1
D. y = 1
Answer:
B. x = −1
Step-by-step explanation:
In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.
Function or not functional? Pls help tyyy
Answer:
not functional, 0 over laps with T and X. so that should make it not functional (I think )
If 2 students can clean the classroom in 20 min. How long will it take 8 students to clean the classroom?
(1) 160 min
(2) 80 min
(3) 5 min
(4) 10 min
Answer:
5 MIN
Step-by-step explanation:
The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds.
The lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.
What are the lower and upper bound?
The lower bound is the smallest value that would round up to the estimated value.
The upper bound is the smallest value that would round up to the next estimated value.
Here the number 1000 is rounded to the nearest 100 will be:
The Lower bound will be 950.
The Upper bound will be 1050
Hence the lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.
To know more about Lower and upper bound follow
https://brainly.com/question/15308347
Can somebody answer this?
True
One from of the linear function is Y = mx + b where b is the y intercept.
The y intercept is where x is 0 so it would be at (0,6)
What is the answer to this problem?
Answer:
infinitely many solutions
Step-by-step explanation:
I need help asap!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1/2 yd 5/3 yds The first one
Step-by-step explanation:
Determine the intercepts of the line.
Do not round your answers.
y = 4r +7
Answer:
(-7/4, 0) (0, 7)
Step-by-step explanation:
I'm assuming r is x
0=4r+7
r=-7/4
y=0r+7
y=7